CBA #10 Review

Which expression is a factored form of 2x² - 25x + 63?

• (x + 9)(2x + 7)

• (x - 9)(2x - 7)

• (x + 7)(2x + 9)

• (x - 7)(2x - 9)

Which expression is equivalent to 16w² + 24w + 9?

• (4w + 3)²

• (4w - 3)²

• (8w + 3)²

• (8w - 3)²

Which value of x is a solution to this equation?

3x² - 30x - 72 = 0

• x = -12

• x = -4

• x = -2

• x = -6

The expression d² − d − 6 can be written in factored form as (d + 2)(d + k), where k represents a number. What is the value of k?

What is the positive solution to x² + 9x − 22 = 0?

Which function is equivalent to k(x) = x² + 2x - 15 ?

• k(x) = (x + 15)(x - 1)

• k(x) = (x + 1)(x - 15)

• k(x) = (x + 5)(x - 3)

• k(x) = (x + 3)(x - 5)

Which function is equivalent to g(x) = x² + 15x - 54 ?

• g(x) = (x + 9)(x - 6)

• g(x) = (x + 18)(x - 3)

• g(x) = (x - 9)(x + 6)

• g(x) = (x - 18)(x + 3)

Which expression is a factor of 9r² - 4r + 1?

• 3r - 1

• r - 1

• 9r - 1

• There are no real factors.

Function k is defined as k(x) = x² + 32x + 248. What are the solutions to k(x) = 0?

• x = −16 + 2√2 and x = −16 − 2√2

• x = 16 + 2√2 and x = 16 − 2√2

• x = −32 + 4√2 and x = −32 − 4√2

• x = 32 + 4√2 and x = 32 − 4√2

There are 9 books stacked on a shelf. The thickness of each book is either 1 inch or 2 inches. The height of the stack of 9 books is 14 inches. Which system of equations can be used to determine x, the number of 1-inch-thick books in the stack, and y, the number of 2-inch-thick books?

• x + y = 14, 2x + y = 9

• x + y = 14, x + 2y = 9

• x + y = 9, x + 2y = 14

• x + y = 9, 2x + y = 14